7960306956 has 96 divisors (see below), whose sum is σ = 22800960000. Its totient is φ = 2154648384.

The previous prime is 7960306943. The next prime is 7960306961. The reversal of 7960306956 is 6596030697.

It is a junction number, because it is equal to n+sod(n) for n = 7960306899 and 7960306908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27310 + ... + 129098.

It is an arithmetic number, because the mean of its divisors is an integer number (237510000).

Almost surely, 2^7960306956 is an apocalyptic number.

7960306956 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7960306956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400480000).

7960306956 is an abundant number, since it is smaller than the sum of its proper divisors (14840653044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7960306956 is a wasteful number, since it uses less digits than its factorization.

7960306956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101836 (or 101820 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 51.

The square root of 7960306956 is about 89220.5523183980. The cubic root of 7960306956 is about 1996.6867605866.

The spelling of 7960306956 in words is "seven billion, nine hundred sixty million, three hundred six thousand, nine hundred fifty-six".